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2.2 Angle Bisectors. Definitions. Angle bisector – a ray that divides and angle into two congruent angles. D. C. A. B. Find Angle Measures. BD bisects ABC and m ABC = 110˚ Find m ABD and m DBC. A. D. 110˚. B. C. Find Angle Measures and Classify.

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Presentation Transcript

Definitions
Definitions

  • Angle bisector – a ray that divides and angle into two congruent angles

D

C

A

B


Find angle measures
Find Angle Measures

  • BD bisects ABC and m ABC = 110˚

  • Find m ABD and m DBC

A

D

110˚

B

C


Find angle measures and classify
Find Angle Measures and Classify

  • BD bisects ABD and ABD = 46˚

  • Find m DBC and m ABC

A

D

46˚

B

C


Use angle bisectors
Use Angle Bisectors

A

  • DAB is bisected by __

  • m DAB = __

  • BCD is bisected by __

  • m BCD = __

45˚

D

B

27˚

C


Use algebra with angle measures
Use Algebra with Angle Measures

  • RQ bisects PRS. Find x.

  • m PRQ = m QRS

Q

(6x + 1)˚

P

85˚

R

S


Guided practice
Guided Practice

  • Pg. 64 #1-7